{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2 \n",
    "import numpy as np\n",
    "from scipy.fftpack import fft,ifft\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#低通滤波（Low pass filtering）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "def LowPassFiltering(img):\n",
    "    img_f=np.fft.fftshift(np.fft.fft2(img))#傅里叶变换得到频谱\n",
    "    # 设置滤波半径\n",
    "    D0 = 10\n",
    "    # 初始化\n",
    "    m = img.shape[0]\n",
    "    n = img.shape[1]\n",
    "    h = np.zeros((m, n))\n",
    "    x0 = np.floor(m/2)\n",
    "    y0 = np.floor(n/2)\n",
    "    for i in range(m):\n",
    "        for j in range(n):\n",
    "            D = np.sqrt((i - x0)**2 + (j - y0)**2)\n",
    "            if D <= D0:\n",
    "                h[i][j] = 1\n",
    "            else:\n",
    "                 h[i][j] = 0\n",
    "    result = np.multiply(img_f, h)\n",
    "    img_lpf=np.fft.ifftshift(result)#反傅里叶变换\n",
    "    img_lpf= np.uint8(np.abs(np.fft.ifft2(img_lpf)))#取实数部分\n",
    "    return img_lpf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img_origin=cv2.imread(r'C:\\Users\\Administrator\\Desktop\\cat.bmp',0)\n",
    "img_lpf=LowPassFiltering(img_origin)\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.title(\"original image\")\n",
    "plt.imshow(img_origin,'gray')\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.title(\"after low pass filtering\")\n",
    "plt.imshow(img_lpf,'gray')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#高通滤波（High pass filtering）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def HighPassFiltering(img):\n",
    "    img_f=np.fft.fftshift(np.fft.fft2(img))#傅里叶变换得到频谱\n",
    "    # 设置滤波半径\n",
    "    D1 = 30\n",
    "    # 初始化\n",
    "    m = img.shape[0]\n",
    "    n = img.shape[1]\n",
    "    h = np.zeros((m, n))\n",
    "    x0 = np.floor(m/2)\n",
    "    y0 = np.floor(n/2)\n",
    "    for i in range(m):\n",
    "        for j in range(n):\n",
    "            D = np.sqrt((i - x0)**2 + (j - y0)**2)\n",
    "            if D >= D1:\n",
    "                h[i][j] = 1\n",
    "            else:\n",
    "                 h[i][j] = 0\n",
    "          \n",
    "    result = np.multiply(img_f, h)        \n",
    "    img_hpf=np.fft.ifftshift(result)#反傅里叶变换\n",
    "    img_hpf= np.uint8(np.abs(np.fft.ifft2(img_hpf)))#取实数部分\n",
    "    return img_hpf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img_origin=cv2.imread(r'C:\\Users\\Administrator\\Desktop\\cat.bmp',0)\n",
    "img_hpf=HighPassFiltering(img_origin)\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.title(\"original image\")\n",
    "plt.imshow(img_origin,'gray')\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.title(\"after high pass filtering\")\n",
    "plt.imshow(img_hpf,'gray')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#带通滤波（Band pass filtering）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def BandPassFiltering(img):\n",
    "    img_f=np.fft.fftshift(np.fft.fft2(img))#傅里叶变换得到频谱\n",
    "    # 设置滤波半径\n",
    "    D0 = 10\n",
    "    D1 = 30\n",
    "    # 初始化\n",
    "    m = img.shape[0]\n",
    "    n = img.shape[1]\n",
    "    h = np.zeros((m, n))\n",
    "    x0 = np.floor(m/2)\n",
    "    y0 = np.floor(n/2)\n",
    "    for i in range(m):\n",
    "        for j in range(n):\n",
    "            D = np.sqrt((i - x0)**2 + (j - y0)**2)\n",
    "            if D >= D0 or D<=D1:\n",
    "                h[i][j] = 1\n",
    "            else:\n",
    "                 h[i][j] = 0\n",
    "    result = np.multiply(img_f, h)        \n",
    "    img_bpf=np.fft.ifftshift(result)#反傅里叶变换\n",
    "    img_bpf= np.uint8(np.abs(np.fft.ifft2(img_bpf)))#取实数部分\n",
    "    return img_bpf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img_origin=cv2.imread(r'C:\\Users\\Administrator\\Desktop\\cat.bmp',0)\n",
    "img_bpf=BandPassFiltering(img_origin)\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.title(\"original image\")\n",
    "plt.imshow(img_origin,'gray')\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.title(\"after band pass filtering\")\n",
    "plt.imshow(img_bpf,'gray')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#同态滤波（Homomorphic filtering）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "def HomomorphicFilter(img):\n",
    "    rL=0.5\n",
    "    rH=4.7\n",
    "    c=2.0\n",
    "    D0 = 20 \n",
    "    m = img.shape[0]\n",
    "    n = img.shape[1]\n",
    "    log_img=np.log(np.double(img)+1)\n",
    "    FI=np.fft.fft2(log_img)\n",
    "    x0 = np.floor(m/2)\n",
    "    y0 = np.floor(n/2)\n",
    "    D = np.zeros((m,n))\n",
    "    H = np.zeros((m,n))\n",
    "   \n",
    "    for i in range(m):\n",
    "        for j in range(n):\n",
    "            D[i,j]=((i-x0)**2+(j-y0)**2)\n",
    "            H[i,j]=(rH-rL)(np.exp(c(-D[i,j]/(D0**2))))+rL\n",
    "            \n",
    "            \n",
    "    G=H*FI\n",
    "    img_hf=np.fft.ifft2(G)#反傅里叶变换\n",
    "    img_hf= np.abs(np.exp(img_hf))#取实数部分\n",
    "    return img_hf\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "'float' object is not callable",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-28-5d36151ed29a>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m      4\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mimshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mimg_origin\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'gray'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      5\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msubplot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m2\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m2\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 6\u001b[1;33m \u001b[0mimg_hf\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mHomomorphicFilter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mimg_origin\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      7\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtitle\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"after homomorphic filtering\"\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      8\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mimshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mimg_hf\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'gray'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m<ipython-input-25-9d6d21ae308b>\u001b[0m in \u001b[0;36mHomomorphicFilter\u001b[1;34m(img)\u001b[0m\n\u001b[0;32m     16\u001b[0m         \u001b[1;32mfor\u001b[0m \u001b[0mj\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     17\u001b[0m             \u001b[0mD\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mj\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m-\u001b[0m\u001b[0mx0\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m**\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m+\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mj\u001b[0m\u001b[1;33m-\u001b[0m\u001b[0my0\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m**\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 18\u001b[1;33m             \u001b[0mH\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mj\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mrH\u001b[0m\u001b[1;33m-\u001b[0m\u001b[0mrL\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mexp\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mc\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m-\u001b[0m\u001b[0mD\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mj\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m/\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mD0\u001b[0m\u001b[1;33m**\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0mrL\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     19\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     20\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mTypeError\u001b[0m: 'float' object is not callable"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img_origin=cv2.imread(r'C:\\Users\\Administrator\\Desktop\\cat.bmp',0)\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.title(\"original image\")\n",
    "plt.imshow(img_origin,'gray')\n",
    "plt.subplot(1, 2, 2)\n",
    "img_hf=HomomorphicFilter(img_origin)\n",
    "plt.title(\"after homomorphic filtering\")\n",
    "plt.imshow(img_hf,'gray')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
